Name: The Dot Product is Equal to Zero for Perpendicular Vectors
Uploaded: 2023-02-25T18:00:28+00:00
Duration: 4 min 6 s
Description: In this video I go further into the dot product and this time show that two vectors are perpendicular if their dot product is equal to zero. Since a ⋅ b = |a| |b| cos θ, then when the angle θ = π/2 ra

2 years ago

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In this video I go further into the dot product and this time show that two vectors are perpendicular if their dot product is equal to zero. Since a ⋅ b = |a| |b| cos θ, then when the angle θ = π/2 radians or 90 degrees, then cosine π/2 = 0 and thus the dot product is equal to 0. This is a great way to verify if any 2 vectors are perpendicular, as which I also illustrate with an example.

The timestamps of key parts of the video are listed below:

- Perpendicular Vectors: 0:00
- Example 4: 2:05

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: The Dot Product: https://youtu.be/9uqtIk5iHys
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GbHgvpTY1mx61nTNO-Msl8